A new determination of higher-order QCD corrections to hadronic $\tau$ decays

Abstract

We employ \textit{Levin-type sequence transformations} to accelerate the convergence of the perturbative fixed-order expansion of the QCD correction ${\delta }^{(0)}$ in terms of the strong coupling ${\alpha }_s$. The method efficiently resums the series, yielding a stable and self-consistent determination of higher-order QCD corrections to hadronic $\tau$ decays, consistent with existing results. We find ${\delta }_{\text{Levin-FOPT}}^{(0)}=0.2089\pm 0.0040\pm 0.0060_{{\alpha }_s}$, and predict $c_{5,1}=278_{-19}^{+27},c_{6,1}=3375_{-209}^{+489},c_{7,1}=(2.03_{-0.25}^{+0.41})\times 10^4.$ Our results demonstrate that Levin-type transformations provide an efficient framework for analyzing asymptotic perturbative series, and studying the higher order perturbative behaviour of the hadronic $\tau$ decays.

arXiv comment20 pages, 1 figure, title slightly modified, accepted version in Phys.Lett.B

References in corpus (47)

• Renormalons
• RunDec: a Mathematica package for running and decoupling of the strong coupling and quark masses
• Five-Loop Running of the QCD coupling constant
• Hadronic Z- and tau-Decays in Order alpha_s^4
• Branching ratios and spectral functions of tau decays: final ALEPH measurements and physics implications
• Version 3 of {\tt RunDec} and {\tt CRunDec}
• The Physics of Hadronic Tau Decays
• Confronting Spectral Functions from e+e- Annihilation and tau Decays: Consequences for the Muon Magnetic Moment
• Resummation of $({\beta }_0{\alpha }_s{)}^n$ Corrections in QCD: Techniques and Applications to the $\tau$ Hadronic Width and the Heavy Quark Pole Mass
• Estimates of the higher-order QCD corrections to R(s), R_τ and deep-inelasstic scattering sum rules
• Update of the ALEPH non-strange spectral functions from hadronic $\tau$ decays
• The Determination of alpha_s from Tau Decays Revisited
• The strong coupling from the revised ALEPH data for hadronic $\tau$ decays
• Determination of the QCD Coupling from ALEPH $\tau$ Decay Data
• ${\alpha }_s$ from $\tau$ decays: contour-improved versus fixed-order summation in a new QCD perturbation expansion
• All-Orders Renormalon Resummations for some QCD Observables
• A new determination of α_s from hadronic τ decays
• The QCD Renormalization Group Equation and the Elimination of Fixed-Order Scheme-and-Scale Ambiguities Using the Principle of Maximum Conformality
• QCD Analysis of Hadronic $\tau$ Decays Revisited
• A Study of Ultraviolet Renormalon Ambiguities in the Determination of $\as$ from $\tau$ Decay
• Perturbative expansion of the QCD Adler function improved by renormalization-group summation and analytic continuation in the Borel plane
• Scheme variations of the QCD coupling and hadronic $\tau$ decays
• Renormalon Singularities of the QCD Vacuum Polarization Function to Leading Order in $1/N_f$
• Expansion functions in perturbative QCD and the determination of ${\alpha }_s(M_{\tau }^2)$
• Higher-order QCD corrections to hadronic $\tau$ decays from Padé approximants
• The strong coupling from an improved $\tau$ vector isovector spectral function
• How well can we guess theoretical uncertainties?
• Determination of ${\alpha }_s(M_{\tau }^2)$ from Improved Fixed Order Perturbation Theory
• Resummation of QED Perturbation Series by Sequence Transformations and the Prediction of Perturbative Coefficients
• Modified Contour-Improved Perturbation Theory
• Expansions of $\tau$ hadronic spectral function moments in a nonpower QCD perturbation theory with tamed large order behavior
• RS-invariant all-orders renormalon resummations for some QCD observables
• Precision physics with inclusive QCD processes
• Higher-order perturbative coefficients in QCD from series acceleration by conformal mappings
• Asymptotic Improvement of Resummation and Perturbative Predictions in Quantum Field Theory
• Conformal mapping of the Borel plane: going beyond perturbative QCD
• QCD Duality and the Mass of the Charm Quark
• Resummation of the hadronic tau decay width with the modified Borel transform method
• Renormalon-inspired resummations for vector and scalar correlators- estimating the uncertainty in {alpha}_{s}({m}_τ^{2}) and and α({M}_{Z}^{2})
• QCD Description of Hadronic Tau Decays
• Borel-Laplace Sum Rules with $\tau$ decay data, using OPE with improved anomalous dimensions
• The uncertainty in ${\alpha }_s(M_Z^2)$ determined from hadronic tau decay measurements
• Mathematical Aspects of the Asymptotic Expansion in Contour Improved Perturbation Theory for Hadronic Tau Decays
• Understanding perturbative results for decays of τleptons into hadrons
• Determination of ${\alpha }_s(M_{\tau }^2)$: a conformal mapping approach
• On the difference between Fixed-Order and Contour-Improved Perturbation Theory
• Recent progress in hadronic tau decays